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Ratio Atlas
Atlas › Integer Profiles › Node 13,200,730
13,200,730
2 × 5 × 31 × 97 × 439
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 31 × 97 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,837,120
Proper Divisor Sum 11,636,390
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #13200727 ← → #13200743

Radix Representation

Decimal 13200730
Binary 110010010110110101011010 (24 bits)
Octal 0o62266532
Hexadecimal 0xC96D5A

Divisor Catalog (32)

1 2 5 10 31 62 97 155 194 310 439 485 878 970 2,195 3,007 4,390 6,014 13,609 15,035 27,218 30,070 42,583 68,045 85,166 136,090 212,915 425,830 1,320,073 2,640,146 6,600,365 13,200,730

Collatz Trajectory (197 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

13,200,730 6,600,365 19,801,096 9,900,548 4,950,274 2,475,137 7,425,412 3,712,706 1,856,353 5,569,060 2,784,530 1,392,265 4,176,796 2,088,398 1,044,199 3,132,598 1,566,299 4,698,898 2,349,449 7,048,348 3,524,174 1,762,087 5,286,262 2,643,131 7,929,394 3,964,697 11,894,092 5,947,046 2,973,523 8,920,570 4,460,285 13,380,856 6,690,428 3,345,214 1,672,607 5,017,822 2,508,911 7,526,734 3,763,367 11,290,102 5,645,051 16,935,154 8,467,577 25,402,732 12,701,366 6,350,683 19,052,050 9,526,025 28,578,076 14,289,038 7,144,519 21,433,558 10,716,779 32,150,338 16,075,169 48,225,508 24,112,754 12,056,377 36,169,132 18,084,566

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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